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Finding the Third Proportional to 37,751 and 55,544

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Solution

The third proportional to 37,751 and 55,544 is: 81,723.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,751 : 55,544 = 55,544 : x
  2. Step 2: Convert to fraction form
    37,751/55,544 = 55,544/x
  3. Step 3: Cross multiply
    37,751x = 55,544 × 55,544
  4. Step 4: Simplify right side
    37,751x = 3,085,135,936
  5. Step 5: Solve for x
    x = 3,085,135,936/37,751
  6. Step 6: Final answer
    x = 81,723.29

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.